PAINLEV acute accent E-KURATOWSKI CONVERGENCES OF THE SOLUTION SETS FOR VECTOR OPTIMIZATION PROBLEMS WITH FREE DISPOSAL SETS

This paper aims to present results on the Painleve acute accent -Kuratowski set-convergence of the sets of both infimal and minimal points of a sequence of perturbed vector optimization problems through free disposal sets. By assump-tions of sequential compactness of the feasible sets or the uniform coerciveness of objective functions, this convergence is obtained both in the image and given spaces under the perturbations of objective functions and feasible sets. Besides, we also establish set-convergences of sequences of approximation solution sets. Applications to the stability of conic, quadratic and linear vector optimization problems are given. Some examples are provided to illustrate our results.